Dickhaus T. Simultaneous Statistical Inference: With Applications in the Life Sciences

Heidelberg: Springer, 2014. — 180 p.
ISBN: 978-3-642-45182-9The Problem of Simultaneous Inference
Some Theory of p-values
Classes of Multiple Test Procedures
Simultaneous Test Procedures
Stepwise Rejective Multiple Tests
Multiple Testing and Binary Classification
Multiple Testing and Model Selection
Software Solutions for Multiple Hypotheses Testing
Genetic Association Studies
Gene Expression Analyses
Functional Magnetic Resonance Imaging
Further Life Science ApplicationsThis monograph will provide an in-depth mathematical treatment of modern multiple test procedures controlling the false discovery rate (FDR) and related error measures, particularly addressing applications to fields such as genetics, proteomics, neuroscience and general biology. The book will also include a detailed description how to implement these methods in practice. Moreover, new developments focusing on non-standard assumptions are also included, especially multiple tests for discrete data. The book primarily addresses researchers and practitioners but will also be beneficial for graduate students.